On the Mathematical Structure of Cascade Effects and Emergent Phenomena

Autor:	Adam, Elie M., Dahleh, Munther A.
Rok vydání:	2019
Předmět:	Computer Science - Logic in Computer Science Computer Science - Computer Science and Game Theory Computer Science - Social and Information Networks
Druh dokumentu:	Working Paper
Popis:	We argue that the mathematical structure, enabling certain cascading and emergent phenomena to intuitively emerge, coincides with Galois connections. We introduce the notion of generative effects to formally capture such phenomena. We establish that these effects arise, via a notion of a veil, from either concealing mechanisms in a system or forgetting characteristics from it. The goal of the work is to initiate a mathematical base that enables us to further study such phenomena. In particular, generative effects can be further linked to a certain loss of exactness. Homological algebra, and related algebraic methods, may then be used to characterize the effects. Comment: 37 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.10376 Zobrazit plný text záznamu View this record from Arxiv